माना f(x) = (1)/(x+1) तथा f(g(x))= (x...

माना `f(x) = (1)/(x+1) ` तथा ` f(g(x))= (x-1)/( x) ` है , तो `underset( 2)overset( 1) int g( f(x)) dx ` का मान बराबर है

` ln 2`

` 1+ ln 2`

` 2 + ln 2`

` 1 - ln 2`

Verified by Experts

The correct Answer is:

INDEFENITE & DEFINITE INTEGRATION
BANSAL HINDI|Exercise SECTION -B [DEFINITE INTEGRATION] (SPECIAL DPP-4)|12 Videos
INDEFENITE & DEFINITE INTEGRATION
BANSAL HINDI|Exercise SECTION -B [DEFINITE INTEGRATION] (SPECIAL DPP-5) |10 Videos
INDEFENITE & DEFINITE INTEGRATION
BANSAL HINDI|Exercise SECTION -B [DEFINITE INTEGRATION] (SPECIAL DPP-2)|23 Videos
DETERMINANT & MATRICS
BANSAL HINDI|Exercise EXERCISE -5 (RANK BOOSTER)|15 Videos
INVERSE TRIGNOMETRIC FUNCTIONS
BANSAL HINDI|Exercise EXERCISE-5 (RANK BOOSTER)|10 Videos

( underset(0) overset( pi//2) int ( x cos x +1) e^(sin x) dx)/( unders...
Text Solution
|
समीकरण underset( 1) overset( x ) int t ln t dt =(1)/(4) को संतुष्ट ...
Text Solution
|
माना a ,b c ,de अशून्य वास्तविक संख्या इस प्रकार है की underset( 0...
Text Solution
|
underset( 0 )overset( infty ) int f( x+(1)/(x)) . ( lnx )/( x) dx
Text Solution
|
यदि beta + 2 underset( 0)overset( 1) int x ^(2) e^(-x^(2)) dx = unde...
Text Solution
|
यदि f(x) = A sin ((pi x)/( 2)) + B , f' ((1)/(2)) = sqrt(2) तथा in...
Text Solution
|
मान f(x)= {:{( underset(-1) overset(x) int |t-2|dt, ,xne 2 ),( k ,, x=...
Text Solution
|
माना f ( x ) एक R पर सतत फलन है। यदि underset( 0)overset( 1)int (f(x...
Text Solution
|
निश्चित समाकलन underset( (1)/(2) ) overset( 2) int ( sin x)/( x(sin...
Text Solution
|
माना f(x) = (1)/(x+1) तथा f(g(x))= (x-1)/( x) है , तो underset( 2)...
Text Solution
|
यदि underset( 0 )overset( infty )int [( 3)/(e^(x))] dx =k , है, तो e...
Text Solution
|
यदि f(x)= x^(3) +3x+ 4 है ,तो underset( -1)overset( 1) int f(x) d...
Text Solution
|